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Math Help - Polynomials! please help if you can...

  1. #1
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    Polynomials! please help if you can...

    1. Suppose the quotient resulting from dividing one polynomial by another is
    r^2 -6r + 9 -1/r-3. What two polynomials were divided?


    2.Suppose an object moves in a straight line so that after t seconds, it is t3 + t2 + 6t feet from its starting point. Find the distance the object travels between the times t = 2 and t = x.
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    Quote Originally Posted by 14041471 View Post
    [snip]
    2.Suppose an object moves in a straight line so that after t seconds, it is t3 + t2 + 6t feet from its starting point. Find the distance the object travels between the times t = 2 and t = x.
    The cubic is increasing for t > 0 therefore the distance is equal to (x^3 + x^2 + 6x) - (2^3 + 2^2 + 6(2)) = ....

    By the way, it's very poor of the question to use the pronumeral x in this way ....
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    Quote Originally Posted by 14041471 View Post
    1. Suppose the quotient resulting from dividing one polynomial by another is
    r^2 -6r + 9 -1/r-3. What two polynomials were divided?
    [snip]
    The simplest solution is found from

    r^2 - 6r + 9 - \frac{1}{r - 3} = \frac{(r-3)(r^2 - 6r + 9)}{r-3} - \frac{1}{r-3} = \frac{(r-3)(r^2 - 6r + 9) - 1}{r-3} = \, ....
    Last edited by mr fantastic; November 5th 2008 at 01:31 AM. Reason: Misread the equation
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    Thank you

    Just one other thing regarding your reply to the second question.
    (x^3 + x^2 + 6x) - (2^3 + 2^2 + 6(2)) < how should i proceed with this question?
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    is this right

    i noticed in you reply to question 1, you wrote in inicial question as
    r^2 -6r + 9 -1/r^3... the denominator is r-3 not r^3
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    Quote Originally Posted by 14041471 View Post
    i noticed in you reply to question 1, you wrote in inicial question as
    r^2 -6r + 9 -1/r^3... the denominator is r-3 not r^3
    The reply has been edited. The correction is simple to make. Now you need to simplify ....
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    Quote Originally Posted by 14041471 View Post
    Just one other thing regarding your reply to the second question.
    (x^3 + x^2 + 6x) - (2^3 + 2^2 + 6(2)) < how should i proceed with this question?
    I'd suggest that you simplify the expression I've given you.
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